The market for rail services in EU countries has long been inaccessible to the private sector. Transport services were provided by national operators, which led to the prevention of participation in fair and non-discriminatory competition in the provision of rail transport services. It is necessary to analyse the overall development in the operation of rail passenger transport, including the entry of private operators into the rail infrastructure. Based on the knowledge of the current situation, it is necessary to take measures to achieve compliance with the requirements of Regulation (EC) No 1370/2007. The paper characterizes the current state and the process of organizing public tenders in the Slovak Republic based on a case study and their process and proposes the gradual steps of the public tender in the form of a schedule. An important point of the whole process of the organization of the public tender is the correct setting of competencies, determination of the subject of the public tender and to propose a uniform methodology of the public tender, which may, however, vary in individual states due to the conditions of national legislation. Part of the unified methodology is the determination of the phases of the public tender process, which are part of the schedule of the public tender. The schedule of the public tender shows the entire cycle, resp. the duration of each phase of the tender for each proposed group of measures taken.